Search a number
-
+
1011104032 = 25371038291
BaseRepresentation
bin111100010001000…
…011100100100000
32121110120101222111
4330101003210200
54032320312112
6244155245104
734025146111
oct7421034440
92543511874
101011104032
11479818474
12242749794
13131627413
14983dc208
155db765a7
hex3c443920

1011104032 has 48 divisors (see below), whose sum is σ = 2064508992. Its totient is φ = 487054080.

The previous prime is 1011104027. The next prime is 1011104051. The reversal of 1011104032 is 2304011101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117807 + ... + 126097.

It is an arithmetic number, because the mean of its divisors is an integer number (43010604).

Almost surely, 21011104032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032254496).

1011104032 is an abundant number, since it is smaller than the sum of its proper divisors (1053404960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011104032 is a wasteful number, since it uses less digits than its factorization.

1011104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1011104032 is about 31797.8620664975. The cubic root of 1011104032 is about 1003.6877279457.

Adding to 1011104032 its reverse (2304011101), we get a palindrome (3315115133).

The spelling of 1011104032 in words is "one billion, eleven million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 103 148 206 296 412 592 824 1184 1648 3296 3811 7622 8291 15244 16582 30488 33164 60976 66328 121952 132656 265312 306767 613534 853973 1227068 1707946 2454136 3415892 4908272 6831784 9816544 13663568 27327136 31597001 63194002 126388004 252776008 505552016 1011104032